The function f(x)=2log(x-2)-x^2+4x+1 inc...

The function `f(x)=2log(x-2)-x^2+4x+1` increases in the interval

A

(1, 2)

B

(2, 3)

C

`[ 5/2, 3]`

D

(2, 4)

Text Solution

Verified by Experts

The correct Answer is:

B, C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MONOTONOCITY
MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) CHECKING MONOTONOCITY AT POINT OR IN AN INTERVAL|1 Videos
MONOTONOCITY
MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) PROVING INEQUATION BY MONOTONOCITY|1 Videos
MONOTONOCITY
MOTION|Exercise Exercise - 2 (Level-I) ( Objective Problems ) (MIXED PROBLEMS )|2 Videos
METHOD OF DIFFERENTIATION
MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos
PARABOLA
MOTION|Exercise EXERCISE - IV|33 Videos

MOTION-MONOTONOCITY-Exercise - 2 (Level-II) ( Multiple Correct ) FINDING INTERVALS OF MONOTONOCITY

Which of the following statements is/are correct
Text Solution
|
Let f(x)=x^(m/n) for x in R where m and n are integers , m even an...
Text Solution
|
The function y = 2x2 – ln |x| is monotonically increasing in the inter...
Text Solution
|
If phi (x)=f(x)+f(2a-x) and f'(x) gt a, a gt 0, 0 le x le 2a, then
Text Solution
|
If f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) then f(x) increase in (0,oo) ...
Text Solution
|
Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)
Text Solution
|
let phi(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosx
Text Solution
|
The function f(x) = 3x^(4) + 4x^(3) – 12x^(2) – 7 is
Text Solution
|
The function f(x)=x^(2)//(x-1), x !=1 is
Text Solution
|
The function f(x)=2log(x-2)-x^2+4x+1 increases in the interval
Text Solution
|
Let the function f(x) = sin x + cos x, be defined in [0, 2pi], then f(...
Text Solution
|